Spectral Stabilization Signatures in Emergent Vacuum Dynamics: A Unified Operator Framework Linking Theory Z, the Radioactive Equilibrium Point, and Dual Spectral Resonance
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2026
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| _version_ | 1866901960131608576 |
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| author | Fuertes Oliva, Martín |
| author_facet | Fuertes Oliva, Martín |
| contents | <p>We construct a mathematically closed operator framework unifying emergent vacuum<br>dynamics as formulated in Theory Z, the generalized Radioactive Equilibrium Point (REP),<br>and Dual Spectral Resonance (DSR). By embedding nuclear stationary conditions into an ef<br>fective vacuum response operator and introducing dual-branch spectral symmetry, we derive<br>explicit spectral stabilization signatures characterized by eigenvalue displacement, spectral<br>gap formation, and resonance-induced mode splitting. The unified formalism is expressed in<br>terms of a coupled linear operator acting on a composite Hilbert space. Stability conditions<br>are obtained from the spectrum of the total operator, providing a rigorous criterion:<br>Reσ(Ltotal) < 0.<br>The framework integrates induced gravity concepts [1, 2], nuclear equilibrium dynamics [3],<br>and spectral symmetry structures [4], producing a formally consistent stabilization theory.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18776078 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Spectral Stabilization Signatures in Emergent Vacuum Dynamics: A Unified Operator Framework Linking Theory Z, the Radioactive Equilibrium Point, and Dual Spectral Resonance Fuertes Oliva, Martín <p>We construct a mathematically closed operator framework unifying emergent vacuum<br>dynamics as formulated in Theory Z, the generalized Radioactive Equilibrium Point (REP),<br>and Dual Spectral Resonance (DSR). By embedding nuclear stationary conditions into an ef<br>fective vacuum response operator and introducing dual-branch spectral symmetry, we derive<br>explicit spectral stabilization signatures characterized by eigenvalue displacement, spectral<br>gap formation, and resonance-induced mode splitting. The unified formalism is expressed in<br>terms of a coupled linear operator acting on a composite Hilbert space. Stability conditions<br>are obtained from the spectrum of the total operator, providing a rigorous criterion:<br>Reσ(Ltotal) < 0.<br>The framework integrates induced gravity concepts [1, 2], nuclear equilibrium dynamics [3],<br>and spectral symmetry structures [4], producing a formally consistent stabilization theory.</p> |
| title | Spectral Stabilization Signatures in Emergent Vacuum Dynamics: A Unified Operator Framework Linking Theory Z, the Radioactive Equilibrium Point, and Dual Spectral Resonance |
| url | https://doi.org/10.5281/zenodo.18776078 |